in the figure, m<2 = 56. What is the measure of <1?
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Answer:
Well, we know that the interior angles of any triangle add up to 180. We also know that a pair of supplementary angles adds up to 180. Furthermore we know that the figure in an iscoceles triangle. We know this since the 2 lines of the triangle are marked with a bisecting arc indidcating that they are equal in length. Therefore the 2 base angles are equal by the rules of an isosceles triangle. Let M and N represent the 2 base angles:
by using the rule that the interior angles add up to 180 we see that 56 +m +n=180
M and n are the same values since this is an isosceles triangle.
56 +m +n=180
m+n=124
Since m and n are the same values we just divide 124 by2
m, n=62
Therefore by using the rules of supplementary angles if the base angles equal 62 then the m<1 and 62 should add up to 180 since suplementary angles add up to 180. 180-62=118
m<1=118
Step-by-step explanation: